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In clean and weakly disordered systems, topological and trivial phases having a finite bulk energy gap can transit to each other via a quantum critical point. In presence of strong disorder, both the nature of the phases and the associated…

Disordered Systems and Neural Networks · Physics 2025-06-26 Saikat Mondal , Adhip Agarwala

How do interactions between species influence their spatial distribution in an ecosystem? To answer this question, we introduce a spatially-extended ecosystem of Generalized Lotka-Volterra type, where species can diffuse and interactions…

Statistical Mechanics · Physics 2025-01-08 Alessandro Salvatore , Fabián Aguirre-López , Ruben Zakine

The study of correlation effects in topological phases of matter can benefit from a multidisciplinary approach that combines techniques drawn from condensed matter, high-energy physics and quantum information science. In this work, we…

Strongly Correlated Electrons · Physics 2022-09-19 E. Tirrito , S. Hands , A. Bermudez

The perceived risk and reward for a given situation can vary depending on resource availability, accumulated wealth, and other extrinsic factors such as individual backgrounds. Based on this general aspect of everyday life, here we use…

Statistical Mechanics · Physics 2021-12-07 Marco A. Amaral , Marcelo M. de Oliveira

We investigate the nonequilibrium phase transition of the disordered contact process in five space dimensions by means of optimal fluctuation theory and Monte Carlo simulations. We find that the critical behavior is of mean-field type,…

Statistical Mechanics · Physics 2014-08-05 Thomas Vojta , John Igo , José A. Hoyos

Recently, a theoretical framework aimed at separating the roles of dynamics and topology in multi-dimensional systems has been developed (Gao et al, \textit{Nature}, Vol 530:307 (2016)). The validity of their method is assumed to hold…

General Physics · Physics 2017-07-05 Chengyi Tu , Jacopo Grilli , Friedrich Schuessler , Samir Suweis

We present a model which displays Griffiths phase i.e. algebraic decay of density with continuously varying exponent in the absorbing phase. In active phase, the memory of initial conditions is lost with continuously varying complex…

Statistical Mechanics · Physics 2020-03-04 Priyanka D. Bhoyar , Prashant M. Gade

We explore the coexistence region in the vicinity of the Mott critical end point employing a compressible cell spin-$1/2$ Ising-like model. We analyze the case for the spin-liquid candidate $\kappa$-(BEDT-TTF)$_2$Cu$_2$(CN)$_3$, where close…

Strongly Correlated Electrons · Physics 2021-02-03 Isys F. Mello , Lucas Squillante , Gabriel O. Gomes , Antonio C. Seridonio , M. de Souza

The extended Hubbard model with an attractive density-density interaction, positive pair hopping, or both, is shown to host topological phases, with a doubly degenerate entanglement spectrum and interacting edge spins. This constitutes a…

Strongly Correlated Electrons · Physics 2020-08-11 Roman Rausch , Matthias Peschke

We study the ferromagnetic phase transition in a randomly layered Heisenberg model. A recent strong-disorder renormalization group approach [Phys. Rev. B 81, 144407 (2010)] predicted that the critical point in this system is of exotic…

Strongly Correlated Electrons · Physics 2012-09-10 Fawaz Hrahsheh , Hatem Barghathi , Priyanka Mohan , Rajesh Narayanan , Thomas Vojta

We investigate the dynamics of chaotic trajectories in simple yet physically important Hamiltonian systems with non-hierarchical borders between regular and chaotic regions with positive measures. We show that the stickiness to the border…

Chaotic Dynamics · Physics 2007-05-23 Eduardo G. Altmann , Adilson E. Motter , Holger Kantz

We investigate the Multiple Equilibria phase of generalized Lotka-Volterra dynamics with random, non-reciprocal interactions. We compute the topological complexity of equilibria, which quantifies how rapidly the number of equilibria of the…

Disordered Systems and Neural Networks · Physics 2026-02-12 Thomas Louis-Sarrola , Valentina Ros

We study a one-dimensional interacting topological model by means of exact diagonalization method. The topological properties are firstly examined with the existence of the edge states at half-filling. We find that the topological phases…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Huaiming Guo , Shun-Qing Shen

Empirical observations show that ecological communities can have a huge number of coexisting species, also with few or limited number of resources. These ecosystems are characterized by multiple type of interactions, in particular…

Populations and Evolution · Quantitative Biology 2018-05-18 Chengyi Tu , Samir Suweis , Jacopo Grillib , Marco Formentin , Amos Maritan

Empirical observations show that ecological communities can have a huge number of coexisting species, also with few or limited number of resources. These ecosystems are characterized by multiple type of interactions, in particular…

Populations and Evolution · Quantitative Biology 2018-05-21 Chengyi Tu , Samir Suweis , Jacopo Grilli , Marco Formentin , Amos Maritan

Extended numerical simulations of threshold models have been performed on a human brain network with N=836733 connected nodes available from the Open Connectome project. While in case of simple threshold models a sharp discontinuous phase…

Disordered Systems and Neural Networks · Physics 2016-12-28 Géza Ódor

The effect of strong disorder on the one-dimensional Kondo necklace model is studied using a perturbative real-space renormalization group approach which becomes asymptotically exact in the low energy limit. The phase diagram of the model…

Strongly Correlated Electrons · Physics 2009-11-07 Tatiana G. Rappoport , Beatriz Boechat , Andreia Saguia , Mucio A. Continentino

The effect of temporal disorder on systems with up-down Z2 symmetry is studied. In particular, we analyze two well-known families of phase transitions: the Ising and the generalized voter universality classes, and scrutinize the…

Statistical Mechanics · Physics 2012-05-17 Ricardo Martinez-Garcia , Federico Vazquez , Cristobal Lopez , Miguel A. Muñoz

We study the ground-state phase diagram of the Ashkin-Teller random quantum spin chain by means of a generalization of the strong-disorder renormalization group. In addition to the conventional paramagnetic and ferromagnetic (Baxter)…

Strongly Correlated Electrons · Physics 2014-01-14 Fawaz Hrahsheh , Rajesh Narayanan , José A. Hoyos , Thomas Vojta

Triangles are abundant in real-world networks but rare in standard null models for sparse graphs. Existing explanations typically rely on explicit triadic closure mechanisms or geometry-based connection rules. We propose an alternative…

Physics and Society · Physics 2026-03-19 M. N. Mooij , M. Baudena , A. S. von der Heydt , L. Miele , I. Kryven